Expanded Form Of 5.625

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The decimal number 5.625 can be expressed in various forms to help us understand its value better. One of these forms is the expanded form, which breaks down the number into its place values. Understanding expanded forms is essential in mathematics, as it helps in comprehending the structure of numbers and facilitates operations like addition and subtraction.

What is Expanded Form?

Expanded form is a way of writing a number to show the value of each digit. It breaks down the number into its place values, such as ones, tens, hundreds, thousands, and so on. This representation makes it easier to perform arithmetic operations and understand the structure of numbers.

How to Write Expanded Form

To write a number in expanded form, you need to multiply each digit by its place value and then add all those products together. For example, the number 456 can be written in expanded form as follows:

• 400 (4 hundreds)
• 50 (5 tens)
• 6 (6 ones)

So, the expanded form of 456 is 400 + 50 + 6.

Expanded Form of 5.625

To express 5.625 in expanded form, we break it down into its whole number part and decimal part.

• Whole number part: 5
• Decimal part: 0.625

Now, let's write the whole number part in expanded form:

• 5 = 5 ones

For the decimal part, we need to consider the place values of the digits after the decimal point:

• 0.6 = 6 tenths
• 0.02 = 2 hundredths
• 0.005 = 5 thousandths

So, the expanded form of 0.625 is 6 tenths + 2 hundredths + 5 thousandths.

Combining the Whole Number and Decimal Parts

Now, we combine the expanded forms of the whole number part and the decimal part:

5 (whole number part) + 6 tenths + 2 hundredths + 5 thousandths

Therefore, the expanded form of 5.625 is 5 + 6/10 + 2/100 + 5/1000.

Importance of Expanded Form

Understanding expanded form is essential in mathematics, as it helps in various mathematical operations and concepts. Here are some of the key reasons why expanded form is important:

• Addition and Subtraction: Expanded form makes it easier to perform addition and subtraction operations, especially when dealing with numbers having different numbers of digits.
• Place Value Understanding: It helps in understanding the place value of each digit in a number, which is crucial in mathematics.
• Number Sense: Expanded form contributes to the development of number sense, which is the ability to understand the magnitude of numbers and perform mental calculations.

Real-Life Applications

Expanded form has various real-life applications, such as:

• Money Calculations: When calculating money, expanded form can help in adding and subtracting amounts accurately.
• Measurement: In measurement, expanded form can be used to calculate lengths, weights, and capacities.
• Science and Technology: Expanded form is used in scientific calculations, such as converting between different units of measurement.

Conclusion

In conclusion, the expanded form of 5.625 is 5 + 6/10 + 2/100 + 5/1000. Understanding expanded form is crucial in mathematics, as it facilitates various mathematical operations and concepts. It also has numerous real-life applications, making it an essential concept to grasp.